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Finding the Third Proportional to 191,170,299 and 295,200,399.75

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Solution

The third proportional to 191,170,299 and 295,200,399.75 is: 455,841,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,170,299 : 295,200,399.75 = 295,200,399.75 : x
  2. Step 2: Convert to fraction form
    191,170,299/295,200,399.75 = 295,200,399.75/x
  3. Step 3: Cross multiply
    191,170,299x = 295,200,399.75 × 295,200,399.75
  4. Step 4: Simplify right side
    191,170,299x = 87,143,276,012,559,808
  5. Step 5: Solve for x
    x = 87,143,276,012,559,808/191,170,299
  6. Step 6: Final answer
    x = 455,841,082.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.